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Finding the Fourth Proportional to 348.59, 519.86 and 297.56

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Solution

The fourth proportional to 348.59, 519.86 and 297.56 is: 443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.59 : 519.86 = 297.56 : x
  2. Step 2: Convert to fraction form
    348.59/519.86 = 297.56/x
  3. Step 3: Cross multiply
    348.59x = 519.86 × 297.56
  4. Step 4: Simplify right side
    348.59x = 154,691.59
  5. Step 5: Solve for x
    x = 154,691.59/348.59
  6. Step 6: Final answer
    x = 443.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.